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arXiv · 1612.07991

Circular Wilson loops in defect Conformal Field Theory

Jeremias Aguilera-Damia·Diego H. Correa·Victor I. Giraldo-Rivera
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Abstract

We study a D3-D5 system dual to a conformal field theory with a codimension-one defect that separates regions where the ranks of the gauge groups differ by $k$. With the help of this additional parameter, as observed by Nagasaki, Tanida and Yamaguchi, one can define a double scaling limit in which the quantum corrections are organized in powers of $λ/k^2$, which should allow to extrapolate results between weak and strong coupling regimes. In particular we consider a radius $R$ circular Wilson loop placed at a distance $L$, whose internal space orientation is given by an angle $χ$. We compute its vacuum expectation value and show that, in the double scaling limit and for small $χ$ and small $L/R$, weak coupling results can be extrapolated to the strong coupling limit.

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Jeremias Aguilera-Damia, Diego H. Correa, Victor I. Giraldo-Rivera. 2017-02-15. Circular Wilson loops in defect Conformal Field Theory. https://doi.org/10.1007/jhep03(2017)023

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